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Finding the Fourth Proportional to 302.21, 453.31 and 109.83

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Solution

The fourth proportional to 302.21, 453.31 and 109.83 is: 164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.21 : 453.31 = 109.83 : x
  2. Step 2: Convert to fraction form
    302.21/453.31 = 109.83/x
  3. Step 3: Cross multiply
    302.21x = 453.31 × 109.83
  4. Step 4: Simplify right side
    302.21x = 49,787.04
  5. Step 5: Solve for x
    x = 49,787.04/302.21
  6. Step 6: Final answer
    x = 164.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.